Cookie Disclaimer
This site uses cookies in order to improve your user experience and to provide content tailored specifically to your interests. Detailed information on the use of cookies on this website is provided in our Privacy Policy. Click "Learn More" to change you cookie settings. By using this website, you consent to the use of cookies.
OKLearn more

Contact Us

3D robust iterative coupling of Stokes, Darcy and solid mechanics

Introduction

Stokes, Darcy and solid mechanics coupling is a matter of interest in many domains of engineering such as soil mechanics, bio-mechanics, and composites. The aim of this paper is to present a robust iterative method to deal with this coupling for low permeability media within the framework of industrial simulation, and especially for composite manufacturing processes. Stokes and Darcy problems are solved using a mixed velocity-pressure finite element using a mini-element formulation, and coupled together by the so-called Beavers-Joseph-Saffman conditions through their interface. This fluid formulation is then coupled to a non-linear solid mechanics formulation in finite deformations using Terzaghi’s law at the pore level, and an explicit dependence of permeability with respect to porosity that is exactly computed from the solid mechanics kinematics. Then, those formulations are validated with test-cases and by the Method of the Manufactured Exact Solution (MMES). Finally, a 3D curved transient example of application is presented.